[Sughly]

I actually haven't been able to bring myself to finish Miles Edgeworth, so I can't say for certain whether or not it spoils or even relates at all to Apollo Justice, but what I CAN say is that Apollo Justice is amazing and, well, I haven't been botherd to finish Miles Edgeworth.

Though ME makes for an interesting change in the genre (which may or may not be better for your pacing), I much much prefer Apollo Justice as a game. I was up to case 3 in ME and it had it's own story (only with a few tie-ins to Franziska's character, but nothing spoilerish). AJ is similar, has tie-ins but is it's own new story. The 3 Phoenix games seem to be the only ones that have closer connections between the three, carrying story arcs between titles.

Does that help? End note - play Apollo. Now!